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Finding the Fourth Proportional to 37.78, 52.14 and 20.53

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Solution

The fourth proportional to 37.78, 52.14 and 20.53 is: 28.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 52.14 = 20.53 : x
  2. Step 2: Convert to fraction form
    37.78/52.14 = 20.53/x
  3. Step 3: Cross multiply
    37.78x = 52.14 × 20.53
  4. Step 4: Simplify right side
    37.78x = 1,070.46
  5. Step 5: Solve for x
    x = 1,070.46/37.78
  6. Step 6: Final answer
    x = 28.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.